When completeness comes, what is in part disappears. When I was a child, I talked like a child, I thought like a child, I reasoned like a child. When I became a man, I put the ways of childhood behind me. For now we see only a reflection as in a mirror; then we shall see face to face. Now I know in part; then I shall know fully, even as I am fully known. ---1 Corinthians 13: 10-12


Holy Trinity of What is to Be or Not to Be

Abraham, the Biblical patriarch of Judaism, Christianity and Islam, spent three days traveling to Mount Moriah in his attempt to sacrifice his beloved son, Isaac, Genesis 22:1-18, and this would have provided ample opportunities for them to commune with nature. In this regard, they didn’t have the aid of the Mandala of Inspiration.

Mandala of Inspiration II.jpg

However, to me, Abraham’s pondering the probabilities of whether he would sacrifice Isaac, sacrifice a lamb instead or do neither appears to anticipate the mathematical formula for the Mandala, God, Jehovah -- “I shall become what I shall become, “I am that I am” -- and the HolyTrinity of Father, Son and Holy Spirit.

In scriptures relevant to his attempted sacrifice:

1. God first promises he will have many descendants through his son, Isaac, to be born to his elderly wife, Sara. (Genesis 17:15-19)

2. After Isaac is born, and for no stated reason, God then tells him to sacrifice Isaacc as a burnt offering. (Genesis 22:1-2)

3. As he prepares to sacrifice, Abraham must be uncertain whether God will actually have him go through with it because this could make God untrue to His promise that he will have many descendants through Isaac.

4. At the moment he is about plunge the knife, God stays his hand through an angel who tells him not to sacrifice his son, complimenting him and promising profound blessings to him, his many descendants and the world as whole for his loyal obedience. (Genesis 22:9-18)


#1 and #2 seem to concern God the Father as creator-destroyer, expressing himself through the Holy Spirit; #3 seems to concern God the Son, as Abraham, (Matthew 5:43-48; Hebrews 12:5-9). who goes in the direction God the Father points, taking it on faith that the as yet unknown final destination will be beneficial; and #4 seems to concern God the Holy Spirit as actualization of the final event by an angel.

In #1 and #2, when God the Father speaks directly to Abraham, without an angel as intermediary, God the Holy Spirit could be the energy of expectation, called hope or fear, that any of several events could occur, in this case, sacrifice Isaac, sacrifice a lamb, or sacrifice neither.

In #2, God the Father commands Abraham to sacrifice Isaac but it is unclear until the angel of God prevents it, in #4, whether he will or won’t be sacrificed. (It is also uncertain that what God tells him in #1, that Sara will have a child, will occur until God confirms it later in the form of angel at Genesis 18:1-15) In other words, to Abraham, God the Father consists of a probability of the possibility that He will have him sacrifice Isaac, and a probability of the possibility that He will have him offer a lamb instead, and the probability of the possibility that he will have him sacrifice neither. And since event probabilities for all possible events add to one, God the Father, is three probabilities adding to one. This evidences why Elohim, the original Hebrew word for God the Father in this story (reprinted as an addendum to this paper), is plural and means “Many Gods in One.”


In #3, Abraham is uncertain what the future holds, and, as a son of God, listens to what God the Holy Spirit of expectation says what may take place and also accepts or does what God the Holy Spirit of actualization as an angel has take place. (Genesis 22:9-14; Matthew 5:43-48;Hebrews 12:5-9)

In #4, Abraham’s uncertainty about the outcome ends when God the Father through an angel tells Abraham not to sacrifice Isaac. The angel is a message bearer and doer of God the Father’s final will, or truth. He doesn’t tell Abraham, like God the Father does, what to do that he might or might not actually do, but provides certainty as to which event is actually occurring.

These characterizations of members of the Holy Trinity and their presence at the possible sacrifice of Isaac suggest several questions and answers:

Q.1. Since God can be represented quantitatively as probabilities of events, as well as qualitatively as occurrences of events, could the probabilities be used in illustrations or equations to somehow characterize or quantify the angel’s message or Abraham’s experience of that message?


A.1. Yes. Let us say that Abraham’s perceived probability of sacrificing Isaac is 0.50 and of not sacrificing him is also 0.50 and that the last of these is divided into a probability of 0.25 that a lamb will be offered and 0.25 that neither will be offered, as shown in the Tree of Knowledge. (Genesis 2:9, Exodus 3:2)



Tree of Knowledge

Tree of Knowledge-page0001.jpg

As we go up the tree and accumulate the “1” and “0” characters next to the event probabilities at each node to the end of each branching, the angel’s “word” that Isaac is to be sacrificed becomes “1”, that Isaac is not to be sacrificed “0”, that Isaac is not to be sacrifice and a lamb is to be sacrificed instead “01”, and that Isaac is not to be sacrificed and a lamb is not to be offered “00”. The number of characters in the message from the angel is, you may notice, the number of times that the number one must be divided by two, or the exponent to which ½ must be raised, to arrive at the probability, p, of the event. Mathematics defines this as the negative of logarithm to the base 2 of p or log(1/2) p, the exponent to which 1/2 must be raised to arrive at p. In this study, for the sake of simplicity, we abbreviate log (1/2) p to log p.

According to Information theory, the number of characters is also the amount of information, measured as number of 0’s and 1’s, what Abraham learns, the reduction in his uncertainty and, anecdotally, the level of his horror, surprise, or relief at any of the possible outcomes (receiving a particular “fruit” at the top of the Tree of Knowledge).

The expected and average amount of his learning, reduction in uncertainty, or emotional response generated by the ultimate outcome is the sum of the products of the number of characters required for each event and their probability of occurrence: (0.50 x 1 ch) + (0.25 x 2 ch) + (0.25 x 2 ch) = 0.5 ch + 0.5 ch + 0.5 ch = 1.5 ch. The probabilities, p’s, represent the unpredictable and non-deterministic nature of God’s will. The characters and the number of characters for the occurrence of each event, log p’s, are the message and their extent, respectively, from the angel of God as well as the learning by Abraham and its extent. The general form of this formula, p1 log p1 + p2 log p2 + p3 log p3 = average characters, av ch, for three probable events for all possible positive values of p1, p2, p3 adding to one, is the formula that generates the Mandala of Inspiration at How the Mandala Works, answer six.


Q.2. What if God had had Abraham sacrifice Isaac.

A.2. Even with their expected fears being realized, as a son of God, Abraham, expects the long term outcome of listening for and obeying God's Holy Spirit to be better than going his own way by deciding by himself what is good or bad.

For example, because God the Father has promised Abraham many descendants through Isaac before commanding his sacrifice, Abraham must feel that, in some way, it will still occur, even if Isaac has to be raised from the dead. (Hebrews 11:17-19) Perhaps, thus inspired, Jesus believes that his death can permit him to sit as the archangel, Michael, at God the Father’s right hand, principle of the angels, log p, as God the Father, p, faces you, (Matthew 26:64; 1 Thessalonians 4:16-17; Jude 1:9a ; Revelatiion 12:7-8 NIV; John 1:18) and infuse his disciples, the Sons of God, p1log p1 + p2 log p2 + p3 log p3 = average information, with a new life of expectation and actualization by the Holy Spirit, i.e., greater average information over time. (Matthew 24:30-31; John 14:26; John 16:7; Luke17:20-21; Acts 2:4; Acts 2:33: Acts 4:31; Acts 8:17; Acts 9:31; Acts 10:44-46; Acts 11:16). Like investors, they deny themselves use of their capital today for use or credit for more of it tomorrow. (Luke 18:29-30; Hebrews 12:2; Hebrews 10:32-34)


Q.3. What does God the Father’s telling Abraham to sacrifice Isaac and then telling him not to sacrifice him accomplish, besides giving Abraham many descendants?

A.3.a. That there is something God the Father wants even more than unquestioning human sacrifice to prove their loyalty – someone to talk to. At the time of Abraham, before 2000 B.C.E., the gods didn’t tell you personally to sacrifice a child, you did it because you assumed that they might accept it and they might not, therefore, do all the bad things they otherwise inflicted – famines, wars, disease, etc. – that would likely claim the child anyway. The fact that God the Father tells Abraham personally to sacrifice Isaac means that, if he hadn’t. Abraham doesn’t have to, and, by the same token, even if God told him to do so, he might still not have to, because it avails God an opportunity to carry on a conversation by telling him not to!

A.3.b. That Abraham’s descendant’s will also be loyal to God and carry on the conversation with God. As he raises the knife to slay Isaac, Abraham’s perceived probability that he would not slay Isaac is extremely low, and, therefore, his surprise, or learning of information, log p, at not having to is very great, insuring his everlasting gratitude and loyalty to God and his passing it on to his descendants, who also learn of God’s love in a continuing conversation. What at first looks like a test of blind loyalty turns out to be a way of cementing a relationship.

Q.4. When is the spirit, or angel, not from God the Father but from the Devil, “a liar and the father of the lie”? (John 8:44)


A. 4. Since the angelic God the Holy Spirit is perfect, we can assume that it is also perfectly efficient and therefore expresses God the Father's final decision with the minimum number of 0 and 1 characters. (According to computer science, the Knowledge Tree method, called Huffman coding, assigns this minimum to each event.)


If the angel is not from God the Father but the Devil and it uses fewer words than the minimum, it makes the information incomplete, a form of lying. (Acts 5:2); if he uses the same number of words as the minimum but words that only sound like the truth, the lie is straight forward lie (Acts 5:8); and if he uses more than the minimum, even if he tells the whole truth, at least part of the message would include extra words, called noise, which hinder hearing or practicing the truth, a third form of lying. Genesis 3:1-5

If Abraham, Isaac, or Jesus complained about their sacrifice they would have been giving voice to such noise. (Matthew 27:12-14) Even when, before his crucifixion, “his sweat was like droplets of blood falling to the ground” and saying “Father, if thou be willing, remove this cup from me: nevertheless not my will, but thine, be done” or on the cross when saying “My Elohim, my Elohim, why hast thou forsaken me?” he is not complaining or worrying: his agony only intensifies his petition for God’s will. (Luke 22:44; Luke 22:42; Matthew 27:46)

Also, if Abraham was a son of God, his telling his attendants that both he and Isaac will return and telling Isaac that God will provide a lamb is not a lie, but his giving voice to his hope or inkling that God will not have him sacrifice Isaac. (Genesis 22:5-8)


Q.5. Does God the Father want us to worry about the outcome of events? (Matthew 6:25-32)


A.5. He wants us to “seek the truth” (Psalm 25:5; Isaiah 65:16 KJV; Mark 13:11; John 4: 24; John 8:32; John 18:37; 1 Timothy 3:15), i.e., the reality of actual events, anything else results in the noise of worrying or complaining. (Numbers 14:36; Jude 1:16)


Changing the situation so that probabilities of bad events are minimized and good events maximized is okay as long as you accept which ever event finally does occur as the actual truth – the will of God the Father. Abraham may have taken longer than required to reach the place of sacrifice, hoping some other task or sacrifice suitable to God would present itself. Even as he raises the knife he apparently scans the foreground for this purpose and succeeds, as if God the Father's angelic Holy Spirit is pointing to the lamb caught in the bramble and saying “That I am.” (Exodus 3:14)


Q.6. How does each of the members of the Holy Trinity comprise Jehovah, i.e., have powers to effect Abraham’s knowledge of what is to be or not to be in the average expected information formula?


A.6.

God the Father 1) supplies the energy and matter available for the events of sacrificing or not sacrificing Isaac (Genesis 1:1-24; Hebrews 11:3) and 2) decides which among these probable events will actually occur.(Genesis 22:12)


God the Holy Spirit 1) provides the expectation of these possible events or 2) informs Abraham of the event God the Father has chosen to have occur and, simultaneously, transforms the energy and matter God the Father has provided into the event it is announcing. (John 1:1-3)

God the Son, Abraham, !) decides whether these expectations and actual events are accurate and will generate maximum benefit (maximum average expected information [consciousness of the truth {John 18:37}]) over time to himself and others, that is, whether they are from God the Father or the Devil, and 2) changes the probabilities of of his expectations accordingly and within the limits of the energy and matter God the Father has provided. (Matthew 22:36-40)



Q.7. Drawing from A.6 and using the top and side views of the Mandala below (Genesis 9:12-17) (Matthew 3:16-17),
Mandala and Probablity Triangle - Top.jpg




Mandala and Probability Triangle Labeled - Corner.jpg
Mandala - Side View







how may the members of the Trinity be assigned to the terms of the average expected information formula and the Mandala graphic = ch av = p1 log p1 + p2 log p2 + p3 log p3 and, for the Abrahamic sacrifice, ch av = .50 log .50 + .25 log .25 + .25 log .25 = .50 x 1 ch + .25 x 2 ch + .25 x 2 ch = .50 ch + .50 ch + .50 ch = 1.50 ch

A.7. The assignment of Holy Trinity members to terms of the Mandala formula and sections of its graphic:
  1. God the Father (or Mother): the possible events and their probabilities = p1, p2, p3 = their combinations of three fractions of one adding to one in the unit triangle, or matrix (virgin mother, Matthew 1:18), of the Mandala function, equals for the Abrahamic sacrifice, 50, .25, .25, for sacrificing Isaac, sacrificing a lamb instead of Isaac, and sacrificing neither in the unit triangle, equals the lengths of the green, blue and red line segments in the unit triangle.

Mandala Trinity HE - Top.jpg
  1. God the Holy Spirit
    1. Spirit of expectation: the average information expected to be generated by each event before any one of them occurs = the probability of each event times the information it would generate if it did occur = p1 log p1, p2 log p2, p3 log p3 = for the Abrahmic sacrifice, .50 x 1 ch =.5 ch, .25 x 2 ch =.5 ch , .25 x 2 ch =.5 ch = the length of the colored line segments times their widths in both Figures = the areas of the line segments = from bottom to top in the column of colors along the vertical axis of the second Figure for p1 = .50, p2 = .25, p3 =.25, the heights, .5 ch, .5 ch, .5 ch, of the green, blue and red column segments of the axis (labeled SA av ch, SL av ch, SN av ch, for Sacrifice isAac, Sacrifice Lamb and Sacrifice Neither) .
Mandala Trinity HE - Top.jpg

Mandala Trinity Son - Corner.jpg
    1. Spirit (Angel or Word) of event actualization: the amount of information that would be or has been created by the actual occurrence of each event = log p1, log p2, log p3 = for the Abrahamic sacrifice, the amount of information generated by sacrificing Isaac, log .25 = 1 ch, sacrificing a lamb, log 25 = 2 ch, and not sacrificing either, log 25 = 2 ch = before the event, the width of the green, blue and red line segments that indicate the probability of sacrificing Isaac, sacrificing a lamb and sacrificing neither in the unit triangles of Figures 3 & 4 = after the event, the width of the line segment times 1, the probability of the occurring or occurred event, = the area of the line segments between 0 and 1 in the figure below.

Mandala Trinity HA - Top.jpg
  1. God the Son (or Daugher) (Matthew 17:2-5; Revelation 14:14; John 4:35): average expected information = p1 log p1 + p2 log p2 + p3 log p3 = the shade, height and intensity of the color of the Mandala function above p1, p2, p3 in the canopy of the figure below = for the Abrahamic sacrifice, .50 x 1 ch + .25 x 2 ch + .25 x 2 ch = .5 ch + .5 ch + .5 ch = 1.5 ch = SA av ch + SL av ch + SN av ch.
Mandala Trinity Son - Corner.jpg



"An equation for me has no meaning unless it represents a thought from God.” -- Srinivasa Ramanujan


Q8. Could the Trinity of What is to Be or Not to Be of the Abrahamic sacrifice be also that of Darwinian evolution?

A8. Yes, because 1) both the Trinity of the Abrahamic sacrifice and that of Darwinian evolution through genetic mutations would be based on random events, 2) Abraham was fighting for the survival of the genes of his descendants, and 3) the following three diagrams for sacrifice, mutation and change in general are logically equivalent.
Trees of Change.jpg



Q.9.1. Is Abraham's experience of the Holy Trinity similar to one's experience of hexagrams of the I Ching?

A.9.1 Yes.

Father. Whether God tells Abraham to sacrifice his Son and whether he will change his mind afterwards is probabilistic just as whether a particular hexagram will be cast and then change into another is probabilistic

Spirit. 1) Both the meaning of "sacrifice Isaac" to Abraham and the of image, judgement and lines of a hexagram to its viewer are a matter of intuition. 2) Just as offering the ram is caused by the probabilistic appearance of the ram in the thicket and the angel of God staying his hand, so is what will finally occur w.r.t. the hexagram a matter of the probabilistic forces of nature,

Son. Just as it was up to Abraham to follow God's command to sacrifice Isaac, what the viewer of the hexagram may do or not do to effect what it indicates is up to the viewer.


Q.9.2. How is the Lord's prayer an ode to the hexagrams of the I Ching?

A.9.2 "Our Father (who wills into existence all that is) who is in heaven (whose will cannot be determined in advance or ultimately understood) hallowed be your name (the probabilistic occurrence of events) your kingdom (of the hexagrams) come, your will be done (judgement, image and lines of the hexagram) on earth (in our life) as it is in heaven (where what actually occurs is finally determined). Give us this day (this casting of the hexagrams) our daily bread (the fruits of using the hexagrams) and forgive us our trespasses (to take the fruits of others) as we forgive those who tresspass against us (to take our fruits). Lead us not into temptation (do not let us vary from the moral precepts of the hexagrams), but deliver us from evil (from the vicissitudes of actual events), for yours is the kindgdom (the source of the hexagrams) and the power (of the hexagrams) and glory (of the benefits of their use) for ever and ever."


Q.9.3. Upon his asking the I Ching “How shall I offer my son to God?” what, inklings, in your opinion, might Hexagram 34, The Power of the Great, give Abraham?



Genesis 17:15-19; 22: 1-18Replaced Name King James Versionhttp://eliyah.com/Scripture/

17:15 And Elohim said unto Abraham, As for Sarai thy wife, thou shalt not call her name Sara, but Sarah shall her name be.

17:16 And I will bless her, and give thee a son also of her: yea, I will bless her, and she shall be a mother of nations; kings of people shall be of her.

17:17 Then Abraham fell upon his face, and laughed, and said in his heart, Shall a child be born unto him that is an hundred years old? and shall Sarah, that is ninety years old, bear?

17:18 And Abraham said unto Elohim, O that Ishmael might live before thee!

17:19 And Elohim said, Sarah thy wife shall bear thee a son indeed; and thou shalt call his name Isaac: and I will establish my covenant with him for an everlasting covenant, and with his seed after him.

22:1 And it came to pass after these things, that Elohim did tempt Abraham, and said unto him, Abraham: and he said, Behold, here I am.

22:2 And he said, Take now thy son, thine only son Isaac, whom thou lovest, and get thee into the land of Moriah; and offer him there for a burnt offering upon one of the mountains which I will tell thee of.

22:3 And Abraham rose up early in the morning, and saddled his ass, and took two of his young men with him, and Isaac his son, and split the wood for the burnt offering, and rose up, and went unto the place of which Elohim had told him.

22:4 Then on the third day Abraham lifted up his eyes, and saw the place afar off.

22:5 And Abraham said unto his young men, Abide ye here with the ass; and I and the lad will go yonder and worship, and come again to you,

22:6 And Abraham took the wood of the burnt offering, and laid it upon Isaac his son; and he took the fire in his hand, and a knife; and they went both of them together.

22:7 And Isaac spake unto Abraham his father, and said, My father: and he said, Here am I, my son. And he said, Behold the fire and the wood: but where is the lamb for a burnt offering?

22:8 And Abraham said, My son, Elohim will provide himself a lamb for a burnt offering: so they went both of them together.

22:9 And they came to the place which Elohim had told him of; and Abraham built an altar there, and laid the wood in order, and bound Isaac his son, and laid him on the altar upon the wood.

22:10 And Abraham stretched forth his hand, and took the knife to slay his son.

22:11 And the angel of Jehovah called unto him out of heaven, and said, Abraham, Abraham: and he said, Here am I.

22:12 And he said, Lay not thine hand upon the lad, neither do thou any thing unto him: for now I know that thou fearest Elohim, seeing thou hast not withheld thy son, thine only son from me.

22:13 And Abraham lifted up his eyes, and looked, and behold behind him a ram caught in a thicket by his horns: and Abraham went and took the ram, and offered him up for a burnt offering in the stead of his son.

22:14 And Abraham called the name of that place - Jehhovah: as it is said to this day, On the mountain Jehovah provides.

22:15 And the angel of Jehovah called unto Abraham out of heaven the second time,

22:16 And said, By myself have I sworn, saith , for because thou hast done this thing, and hast not withheld thy son, thine only son:

22:17 That in blessing I will bless thee, and in multiplying I will multiply thy seed as the stars of the heaven, and as the sand which is upon the sea shore; and thy seed shall possess the gate of his enemies;

22:18 And in thy seed shall all the nations of the earth be blessed; because thou hast obeyed my voice.


albertkueffner@sbcglobal.net
Mandala Trinity HE - Top.jpg